   Chapter 10, Problem 9RQ

Chapter
Section
Textbook Problem

# Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.9. A tangent line to a parabola intersects the parabola only once

To determine

To find: Whether the given statement is true or false and explain with an example if necessary to prove your answer.

Explanation

Given:

The standard equation of parabola is as follows.

y=cx2 (1)

Where c >0

Calculation:

Substitute a for x in equation (1)

y=ca2

Consider the tangent line yca2=2ca(xa) at point (a,ca2) .

yca2=2ca(xa)

yca2=2cax2ca2

y=2caxca2 (2)

Consider the tangent line meet the parabola at (x,cx

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### In Exercises 107-120, factor each expression completely. 107. 6ac + 3bc 4ad 2bd

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### In Problems 7-34, perform the indicated operations and simplify. 20.

Mathematical Applications for the Management, Life, and Social Sciences

#### The graph of x = cos t, y = sin2 t is:

Study Guide for Stewart's Multivariable Calculus, 8th 